Dataset statistics
| Number of variables | 9 |
|---|---|
| Number of observations | 10703 |
| Missing cells | 0 |
| Missing cells (%) | 0.0% |
| Duplicate rows | 0 |
| Duplicate rows (%) | 0.0% |
| Total size in memory | 752.7 KiB |
| Average record size in memory | 72.0 B |
Variable types
| NUM | 9 |
|---|
mean_closeness is highly correlated with average_clustering and 1 other fields | High correlation |
average_clustering is highly correlated with mean_closeness and 1 other fields | High correlation |
assortativity is highly correlated with average_clustering and 1 other fields | High correlation |
rg has unique values | Unique |
shape has unique values | Unique |
Reproduction
| Analysis started | 2020-11-25 20:12:01.860857 |
|---|---|
| Analysis finished | 2020-11-25 20:12:13.668312 |
| Duration | 11.81 seconds |
| Software version | pandas-profiling v2.9.0 |
| Download configuration | config.yaml |
| Distinct | 10703 |
|---|---|
| Distinct (%) | 100.0% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 0.4006523501 |
|---|---|
| Minimum | 0.2647429215 |
| Maximum | 0.5000658117 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 83.6 KiB |
Quantile statistics
| Minimum | 0.2647429215 |
|---|---|
| 5-th percentile | 0.314951375 |
| Q1 | 0.3756062709 |
| median | 0.4038566037 |
| Q3 | 0.4323803498 |
| 95-th percentile | 0.4666286933 |
| Maximum | 0.5000658117 |
| Range | 0.2353228901 |
| Interquartile range (IQR) | 0.05677407881 |
Descriptive statistics
| Standard deviation | 0.04535279828 |
|---|---|
| Coefficient of variation (CV) | 0.1131973849 |
| Kurtosis | -0.3184258063 |
| Mean | 0.4006523501 |
| Median Absolute Deviation (MAD) | 0.02828587499 |
| Skewness | -0.3792377219 |
| Sum | 4288.182103 |
| Variance | 0.002056876312 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 0.4469483528 | 1 | < 0.1% | |
| 0.4102886314 | 1 | < 0.1% | |
| 0.4006058744 | 1 | < 0.1% | |
| 0.4185064787 | 1 | < 0.1% | |
| 0.409414151 | 1 | < 0.1% | |
| 0.3618436218 | 1 | < 0.1% | |
| 0.3426848875 | 1 | < 0.1% | |
| 0.4506940829 | 1 | < 0.1% | |
| 0.392548011 | 1 | < 0.1% | |
| 0.4332317889 | 1 | < 0.1% | |
| Other values (10693) | 10693 | 99.9% |
| Value | Count | Frequency (%) | |
| 0.2647429215 | 1 | < 0.1% | |
| 0.2663038185 | 1 | < 0.1% | |
| 0.2668979912 | 1 | < 0.1% | |
| 0.2674296361 | 1 | < 0.1% | |
| 0.2674408081 | 1 | < 0.1% |
| Value | Count | Frequency (%) | |
| 0.5000658117 | 1 | < 0.1% | |
| 0.4991441279 | 1 | < 0.1% | |
| 0.4991388309 | 1 | < 0.1% | |
| 0.4990485847 | 1 | < 0.1% | |
| 0.4988778346 | 1 | < 0.1% |
mean_displacement
Real number (ℝ≥0)
| Distinct | 10648 |
|---|---|
| Distinct (%) | 99.5% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 14.38374133 |
|---|---|
| Minimum | 0 |
| Maximum | 142.2368066 |
| Zeros | 56 |
| Zeros (%) | 0.5% |
| Memory size | 83.6 KiB |
Quantile statistics
| Minimum | 0 |
|---|---|
| 5-th percentile | 1.278279263 |
| Q1 | 6.787500261 |
| median | 9.66576856 |
| Q3 | 20.0354263 |
| 95-th percentile | 39.12502738 |
| Maximum | 142.2368066 |
| Range | 142.2368066 |
| Interquartile range (IQR) | 13.24792604 |
Descriptive statistics
| Standard deviation | 11.59685577 |
|---|---|
| Coefficient of variation (CV) | 0.8062475197 |
| Kurtosis | 5.940268228 |
| Mean | 14.38374133 |
| Median Absolute Deviation (MAD) | 3.97054806 |
| Skewness | 1.774379636 |
| Sum | 153949.1835 |
| Variance | 134.4870638 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 0 | 56 | 0.5% | |
| 1.134407624 | 1 | < 0.1% | |
| 15.12061401 | 1 | < 0.1% | |
| 8.208415985 | 1 | < 0.1% | |
| 5.978949896 | 1 | < 0.1% | |
| 8.077099507 | 1 | < 0.1% | |
| 17.82912603 | 1 | < 0.1% | |
| 11.10310377 | 1 | < 0.1% | |
| 9.250449512 | 1 | < 0.1% | |
| 33.07264464 | 1 | < 0.1% | |
| Other values (10638) | 10638 | 99.4% |
| Value | Count | Frequency (%) | |
| 0 | 56 | 0.5% | |
| 1.016666045 | 1 | < 0.1% | |
| 1.023916176 | 1 | < 0.1% | |
| 1.035238929 | 1 | < 0.1% | |
| 1.035395394 | 1 | < 0.1% |
| Value | Count | Frequency (%) | |
| 142.2368066 | 1 | < 0.1% | |
| 119.4764542 | 1 | < 0.1% | |
| 117.6691426 | 1 | < 0.1% | |
| 115.4518361 | 1 | < 0.1% | |
| 105.9717172 | 1 | < 0.1% |
| Distinct | 10703 |
|---|---|
| Distinct (%) | 100.0% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 0.003499573175 |
|---|---|
| Minimum | -0.06826915628 |
| Maximum | 0.1415545417 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 83.6 KiB |
Quantile statistics
| Minimum | -0.06826915628 |
|---|---|
| 5-th percentile | -0.006057928124 |
| Q1 | -0.001127639932 |
| median | 0.0004272408729 |
| Q3 | 0.003713336254 |
| 95-th percentile | 0.02850722117 |
| Maximum | 0.1415545417 |
| Range | 0.2098236979 |
| Interquartile range (IQR) | 0.004840976186 |
Descriptive statistics
| Standard deviation | 0.01361309761 |
|---|---|
| Coefficient of variation (CV) | 3.889930837 |
| Kurtosis | 18.37578008 |
| Mean | 0.003499573175 |
| Median Absolute Deviation (MAD) | 0.002166574374 |
| Skewness | 3.234879993 |
| Sum | 37.45593169 |
| Variance | 0.0001853164265 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 0.0001291051405 | 1 | < 0.1% | |
| 0.0006601309855 | 1 | < 0.1% | |
| 0.000270178324 | 1 | < 0.1% | |
| -0.0001054837404 | 1 | < 0.1% | |
| 0.002749565988 | 1 | < 0.1% | |
| -0.002262796314 | 1 | < 0.1% | |
| 0.002093124782 | 1 | < 0.1% | |
| 0.001835938283 | 1 | < 0.1% | |
| -0.0002375166227 | 1 | < 0.1% | |
| 0.01204381302 | 1 | < 0.1% | |
| Other values (10693) | 10693 | 99.9% |
| Value | Count | Frequency (%) | |
| -0.06826915628 | 1 | < 0.1% | |
| -0.06363906968 | 1 | < 0.1% | |
| -0.05755228497 | 1 | < 0.1% | |
| -0.05519934157 | 1 | < 0.1% | |
| -0.05270346023 | 1 | < 0.1% |
| Value | Count | Frequency (%) | |
| 0.1415545417 | 1 | < 0.1% | |
| 0.1309540203 | 1 | < 0.1% | |
| 0.1248102448 | 1 | < 0.1% | |
| 0.1227042489 | 1 | < 0.1% | |
| 0.1207423392 | 1 | < 0.1% |
density
Real number (ℝ≥0)
| Distinct | 7843 |
|---|---|
| Distinct (%) | 73.3% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 0.001448799739 |
|---|---|
| Minimum | 0.00134478223 |
| Maximum | 0.001676962743 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 83.6 KiB |
Quantile statistics
| Minimum | 0.00134478223 |
|---|---|
| 5-th percentile | 0.001365176148 |
| Q1 | 0.001407108047 |
| median | 0.001453081545 |
| Q3 | 0.001486241778 |
| 95-th percentile | 0.001532550889 |
| Maximum | 0.001676962743 |
| Range | 0.0003321805127 |
| Interquartile range (IQR) | 7.913373087e-05 |
Descriptive statistics
| Standard deviation | 5.285368923e-05 |
|---|---|
| Coefficient of variation (CV) | 0.03648101791 |
| Kurtosis | -0.5889009284 |
| Mean | 0.001448799739 |
| Median Absolute Deviation (MAD) | 3.784919995e-05 |
| Skewness | 0.05820580056 |
| Sum | 15.50650361 |
| Variance | 2.793512465e-09 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 0.001359397863 | 9 | 0.1% | |
| 0.001359883659 | 7 | 0.1% | |
| 0.00147904071 | 6 | 0.1% | |
| 0.001379658653 | 6 | 0.1% | |
| 0.001473681645 | 6 | 0.1% | |
| 0.001453486232 | 6 | 0.1% | |
| 0.001357459921 | 6 | 0.1% | |
| 0.00143358128 | 6 | 0.1% | |
| 0.001450669599 | 6 | 0.1% | |
| 0.001365336333 | 6 | 0.1% | |
| Other values (7833) | 10639 | 99.4% |
| Value | Count | Frequency (%) | |
| 0.00134478223 | 1 | < 0.1% | |
| 0.001346292373 | 1 | < 0.1% | |
| 0.001348865727 | 1 | < 0.1% | |
| 0.001349015354 | 1 | < 0.1% | |
| 0.001349140587 | 1 | < 0.1% |
| Value | Count | Frequency (%) | |
| 0.001676962743 | 1 | < 0.1% | |
| 0.001633652961 | 1 | < 0.1% | |
| 0.001629685157 | 1 | < 0.1% | |
| 0.001628587822 | 1 | < 0.1% | |
| 0.001627807059 | 1 | < 0.1% |
clique_number
Real number (ℝ≥0)
| Distinct | 7 |
|---|---|
| Distinct (%) | 0.1% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 4.050920303 |
|---|---|
| Minimum | 2 |
| Maximum | 8 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 83.6 KiB |
Quantile statistics
| Minimum | 2 |
|---|---|
| 5-th percentile | 3 |
| Q1 | 3 |
| median | 4 |
| Q3 | 4 |
| 95-th percentile | 6 |
| Maximum | 8 |
| Range | 6 |
| Interquartile range (IQR) | 1 |
Descriptive statistics
| Standard deviation | 0.9969702016 |
|---|---|
| Coefficient of variation (CV) | 0.2461095571 |
| Kurtosis | 1.581797935 |
| Mean | 4.050920303 |
| Median Absolute Deviation (MAD) | 0 |
| Skewness | 1.258944004 |
| Sum | 43357 |
| Variance | 0.9939495828 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=7)
| Value | Count | Frequency (%) | |
| 4 | 5454 | 51.0% | |
| 3 | 3098 | 28.9% | |
| 5 | 1056 | 9.9% | |
| 6 | 696 | 6.5% | |
| 7 | 371 | 3.5% | |
| 8 | 23 | 0.2% | |
| 2 | 5 | < 0.1% |
| Value | Count | Frequency (%) | |
| 2 | 5 | < 0.1% | |
| 3 | 3098 | 28.9% | |
| 4 | 5454 | 51.0% | |
| 5 | 1056 | 9.9% | |
| 6 | 696 | 6.5% |
| Value | Count | Frequency (%) | |
| 8 | 23 | 0.2% | |
| 7 | 371 | 3.5% | |
| 6 | 696 | 6.5% | |
| 5 | 1056 | 9.9% | |
| 4 | 5454 | 51.0% |
| Distinct | 9953 |
|---|---|
| Distinct (%) | 93.0% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 0.1389279499 |
|---|---|
| Minimum | 0 |
| Maximum | 0.6084742648 |
| Zeros | 5 |
| Zeros (%) | < 0.1% |
| Memory size | 83.6 KiB |
Quantile statistics
| Minimum | 0 |
|---|---|
| 5-th percentile | 0.02934740472 |
| Q1 | 0.04626148262 |
| median | 0.1060590886 |
| Q3 | 0.147800557 |
| 95-th percentile | 0.5987907544 |
| Maximum | 0.6084742648 |
| Range | 0.6084742648 |
| Interquartile range (IQR) | 0.1015390743 |
Descriptive statistics
| Standard deviation | 0.1558802813 |
|---|---|
| Coefficient of variation (CV) | 1.122022468 |
| Kurtosis | 3.973982079 |
| Mean | 0.1389279499 |
| Median Absolute Deviation (MAD) | 0.05666858842 |
| Skewness | 2.251427583 |
| Sum | 1486.945848 |
| Variance | 0.0242986621 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 0.04879074658 | 10 | 0.1% | |
| 0.04424778761 | 10 | 0.1% | |
| 0.04620253165 | 9 | 0.1% | |
| 0.0443318556 | 9 | 0.1% | |
| 0.04427577483 | 8 | 0.1% | |
| 0.04885238998 | 7 | 0.1% | |
| 0.04430379747 | 7 | 0.1% | |
| 0.0483396385 | 7 | 0.1% | |
| 0.0443599493 | 7 | 0.1% | |
| 0.04586768125 | 6 | 0.1% | |
| Other values (9943) | 10623 | 99.3% |
| Value | Count | Frequency (%) | |
| 0 | 5 | < 0.1% | |
| 0.001430615165 | 1 | < 0.1% | |
| 0.001432371598 | 1 | < 0.1% | |
| 0.001435897436 | 1 | < 0.1% | |
| 0.001435897436 | 1 | < 0.1% |
| Value | Count | Frequency (%) | |
| 0.6084742648 | 1 | < 0.1% | |
| 0.6081231788 | 1 | < 0.1% | |
| 0.6070630498 | 1 | < 0.1% | |
| 0.6069814095 | 1 | < 0.1% | |
| 0.6067824362 | 1 | < 0.1% |
| Distinct | 10700 |
|---|---|
| Distinct (%) | > 99.9% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 0.0005421201513 |
|---|---|
| Minimum | 0.000100637931 |
| Maximum | 0.003373289354 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 83.6 KiB |
Quantile statistics
| Minimum | 0.000100637931 |
|---|---|
| 5-th percentile | 0.0001251999322 |
| Q1 | 0.0001707270123 |
| median | 0.0005412433383 |
| Q3 | 0.000616050486 |
| 95-th percentile | 0.001927778932 |
| Maximum | 0.003373289354 |
| Range | 0.003272651422 |
| Interquartile range (IQR) | 0.0004453234737 |
Descriptive statistics
| Standard deviation | 0.0005235240156 |
|---|---|
| Coefficient of variation (CV) | 0.9656973909 |
| Kurtosis | 4.430790748 |
| Mean | 0.0005421201513 |
| Median Absolute Deviation (MAD) | 0.0003022152961 |
| Skewness | 2.124331053 |
| Sum | 5.802311979 |
| Variance | 2.740773949e-07 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 0.0001025763384 | 2 | < 0.1% | |
| 0.0001064349032 | 2 | < 0.1% | |
| 0.0001050572457 | 2 | < 0.1% | |
| 0.0001209448835 | 1 | < 0.1% | |
| 0.0006526277744 | 1 | < 0.1% | |
| 0.0001357715662 | 1 | < 0.1% | |
| 0.0002696513233 | 1 | < 0.1% | |
| 0.0001368234679 | 1 | < 0.1% | |
| 0.0002246209363 | 1 | < 0.1% | |
| 0.0006164430043 | 1 | < 0.1% | |
| Other values (10690) | 10690 | 99.9% |
| Value | Count | Frequency (%) | |
| 0.000100637931 | 1 | < 0.1% | |
| 0.0001024397823 | 1 | < 0.1% | |
| 0.0001025763384 | 2 | < 0.1% | |
| 0.00010290546 | 1 | < 0.1% | |
| 0.0001029785669 | 1 | < 0.1% |
| Value | Count | Frequency (%) | |
| 0.003373289354 | 1 | < 0.1% | |
| 0.003258571217 | 1 | < 0.1% | |
| 0.003248603873 | 1 | < 0.1% | |
| 0.003212554094 | 1 | < 0.1% | |
| 0.00317817879 | 1 | < 0.1% |
mean_betweenness
Real number (ℝ≥0)
| Distinct | 9627 |
|---|---|
| Distinct (%) | 89.9% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 3.314002446e-05 |
|---|---|
| Minimum | 4.984923249e-09 |
| Maximum | 0.00367050182 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 83.6 KiB |
Quantile statistics
| Minimum | 4.984923249e-09 |
|---|---|
| 5-th percentile | 1.481697435e-08 |
| Q1 | 3.839167337e-08 |
| median | 3.803423336e-07 |
| Q3 | 6.611311975e-07 |
| 95-th percentile | 0.0002338628676 |
| Maximum | 0.00367050182 |
| Range | 0.003670496835 |
| Interquartile range (IQR) | 6.227395241e-07 |
Descriptive statistics
| Standard deviation | 0.0001597285624 |
|---|---|
| Coefficient of variation (CV) | 4.819808225 |
| Kurtosis | 156.1037236 |
| Mean | 3.314002446e-05 |
| Median Absolute Deviation (MAD) | 3.355512214e-07 |
| Skewness | 10.67970433 |
| Sum | 0.3546976818 |
| Variance | 2.551321366e-08 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 2.621746929e-08 | 6 | 0.1% | |
| 1.946777186e-08 | 6 | 0.1% | |
| 2.05458807e-08 | 6 | 0.1% | |
| 1.521178447e-08 | 6 | 0.1% | |
| 1.366464407e-08 | 6 | 0.1% | |
| 2.363943726e-08 | 6 | 0.1% | |
| 1.583883465e-08 | 5 | < 0.1% | |
| 3.099857352e-08 | 5 | < 0.1% | |
| 2.028247514e-08 | 5 | < 0.1% | |
| 3.140337018e-08 | 5 | < 0.1% | |
| Other values (9617) | 10647 | 99.5% |
| Value | Count | Frequency (%) | |
| 4.984923249e-09 | 1 | < 0.1% | |
| 5.032278139e-09 | 3 | < 0.1% | |
| 5.041821018e-09 | 2 | < 0.1% | |
| 5.051388041e-09 | 2 | < 0.1% | |
| 5.079956941e-09 | 1 | < 0.1% |
| Value | Count | Frequency (%) | |
| 0.00367050182 | 1 | < 0.1% | |
| 0.003219041872 | 1 | < 0.1% | |
| 0.003209295734 | 1 | < 0.1% | |
| 0.002818780816 | 1 | < 0.1% | |
| 0.002789564268 | 1 | < 0.1% |
| Distinct | 10701 |
|---|---|
| Distinct (%) | > 99.9% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 0.8446850952 |
|---|---|
| Minimum | 0.4461152309 |
| Maximum | 0.9899011033 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 83.6 KiB |
Quantile statistics
| Minimum | 0.4461152309 |
|---|---|
| 5-th percentile | 0.5121904605 |
| Q1 | 0.8100064214 |
| median | 0.8328714993 |
| Q3 | 0.944246909 |
| 95-th percentile | 0.9732624376 |
| Maximum | 0.9899011033 |
| Range | 0.5437858724 |
| Interquartile range (IQR) | 0.1342404876 |
Descriptive statistics
| Standard deviation | 0.1262026975 |
|---|---|
| Coefficient of variation (CV) | 0.1494079844 |
| Kurtosis | 1.939443223 |
| Mean | 0.8446850952 |
| Median Absolute Deviation (MAD) | 0.07910495679 |
| Skewness | -1.51542757 |
| Sum | 9040.664574 |
| Variance | 0.01592712086 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 0.9785965306 | 2 | < 0.1% | |
| 0.9872670689 | 2 | < 0.1% | |
| 0.9454107533 | 1 | < 0.1% | |
| 0.9120240158 | 1 | < 0.1% | |
| 0.8056972521 | 1 | < 0.1% | |
| 0.8151063714 | 1 | < 0.1% | |
| 0.8176690268 | 1 | < 0.1% | |
| 0.8047817957 | 1 | < 0.1% | |
| 0.8337156029 | 1 | < 0.1% | |
| 0.8975035897 | 1 | < 0.1% | |
| Other values (10691) | 10691 | 99.9% |
| Value | Count | Frequency (%) | |
| 0.4461152309 | 1 | < 0.1% | |
| 0.4540455353 | 1 | < 0.1% | |
| 0.4553403686 | 1 | < 0.1% | |
| 0.4588284583 | 1 | < 0.1% | |
| 0.4591616346 | 1 | < 0.1% |
| Value | Count | Frequency (%) | |
| 0.9899011033 | 1 | < 0.1% | |
| 0.9896933163 | 1 | < 0.1% | |
| 0.9896868389 | 1 | < 0.1% | |
| 0.9896590498 | 1 | < 0.1% | |
| 0.9895339833 | 1 | < 0.1% |
Pearson's r
The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.
Spearman's ρ
The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.
Kendall's τ
Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.
Phik (φk)
Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available here.First rows
| rg | mean_displacement | shape | density | clique_number | average_clustering | mean_closeness | mean_betweenness | assortativity | |
|---|---|---|---|---|---|---|---|---|---|
| 0 | 0.476249 | 0.000000 | 0.001247 | 0.001360 | 3 | 0.001436 | 0.000139 | 2.054588e-08 | 0.892341 |
| 1 | 0.443915 | 55.140268 | 0.001491 | 0.001382 | 3 | 0.009798 | 0.000171 | 3.911007e-08 | 0.903483 |
| 2 | 0.429953 | 50.291421 | 0.000781 | 0.001392 | 3 | 0.003472 | 0.000186 | 7.283252e-08 | 0.893616 |
| 3 | 0.413413 | 49.542963 | 0.002183 | 0.001388 | 4 | 0.008821 | 0.000172 | 5.556727e-08 | 0.924630 |
| 4 | 0.396525 | 52.880606 | -0.000384 | 0.001404 | 4 | 0.015829 | 0.000202 | 9.449790e-08 | 0.902335 |
| 5 | 0.390559 | 49.946156 | -0.001040 | 0.001398 | 3 | 0.015756 | 0.000192 | 8.436034e-08 | 0.905063 |
| 6 | 0.387556 | 47.897362 | -0.001761 | 0.001391 | 4 | 0.019077 | 0.000176 | 5.043080e-08 | 0.915935 |
| 7 | 0.377764 | 45.165687 | -0.003608 | 0.001410 | 5 | 0.019109 | 0.000201 | 5.126138e-08 | 0.923450 |
| 8 | 0.371871 | 42.052728 | -0.005646 | 0.001406 | 3 | 0.025699 | 0.000201 | 6.809754e-08 | 0.898583 |
| 9 | 0.368417 | 44.360144 | -0.006161 | 0.001396 | 3 | 0.024877 | 0.000183 | 5.665358e-08 | 0.923805 |
Last rows
| rg | mean_displacement | shape | density | clique_number | average_clustering | mean_closeness | mean_betweenness | assortativity | |
|---|---|---|---|---|---|---|---|---|---|
| 10693 | 0.384563 | 6.480627 | -0.001703 | 0.001464 | 4 | 0.119147 | 0.000562 | 3.589257e-07 | 0.807784 |
| 10694 | 0.384086 | 6.376798 | -0.001599 | 0.001459 | 4 | 0.121836 | 0.000557 | 3.428125e-07 | 0.817159 |
| 10695 | 0.384200 | 5.918025 | -0.001349 | 0.001455 | 4 | 0.116625 | 0.000554 | 3.410380e-07 | 0.812662 |
| 10696 | 0.383800 | 5.755412 | -0.000956 | 0.001463 | 4 | 0.120885 | 0.000569 | 3.477754e-07 | 0.808373 |
| 10697 | 0.383452 | 6.059833 | -0.000794 | 0.001461 | 4 | 0.125326 | 0.000561 | 3.351202e-07 | 0.810435 |
| 10698 | 0.381531 | 6.430485 | -0.001045 | 0.001465 | 4 | 0.120933 | 0.000558 | 3.183952e-07 | 0.815143 |
| 10699 | 0.382409 | 5.566823 | -0.001161 | 0.001449 | 4 | 0.119005 | 0.000541 | 2.914492e-07 | 0.808140 |
| 10700 | 0.382124 | 7.064615 | -0.001267 | 0.001464 | 4 | 0.130369 | 0.000566 | 3.166979e-07 | 0.813121 |
| 10701 | 0.382152 | 6.479632 | -0.000803 | 0.001463 | 4 | 0.119411 | 0.000556 | 3.332482e-07 | 0.819382 |
| 10702 | 0.381272 | 6.034650 | -0.000905 | 0.001461 | 4 | 0.118066 | 0.000557 | 3.243762e-07 | 0.810699 |